Euclid's algorithm in the cyclotomic field
Author: T. Ojala
Journal: Math. Comp. 31 (1977), 268-273
MSC: Primary 12A35; Secondary 10A25, 12A45
MathSciNet review: 0422202
Full-text PDF Free Access
Abstract: Let denote a primitive 16th root of unity. It is proved that is Euclidean for the norm map.
-  H. W. Lenstra Jr., Euclid’s algorithm in cyclotomic fields, J. London Math. Soc. (2) 10 (1975), no. 4, 457–465. MR 0387257, https://doi.org/10.1112/jlms/s2-10.4.457
-  J. M. MASLEY, "On cyclotomic fields Euclidean for the norm map," Notices Amer. Math. Soc., v. 19, 1972, A-813. Abstract # 700-A3.